Find the length of the missing side of the triangle below

PLEASE HELPP!!

Answers

Answer 1

Answer:

To find the length of the missing side, you can use the Pythagorean Theorem, which you can only use for right triangles.

Pythagorean Theorem: a² + b² = c²

[ c is the hypotenuse or the longest side of the triangle, and a and b are the other sides, I think it doesn't matter which side ]

Plug in what you know:

b = 8

c = 14

a² + b² = c²

a² + (8)² = (14)²

a² + 64 = 196 Subtract 64 on both sides

a² = 132 Square root both sides to get "a" by itself

$√(a^2) =√(132)$

a = $√(132)$ inches

If you need to simplify more, you need to find two numbers that multiply to = 132 where one of them can be square rooted, to do so you can list the greatest common factors of 132

132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The only number that can be square rooted is 4, so you can do:

$a=√(4*33)$

$a=√(4) *√(33)$

$a=2√(33)$

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A cell phone company has a basic monthly plan of $40 plus $0.45 for any minutes used over 700. Before receiving his statement, John saw he was charged a total of $48.10. Write and solve an equation to determine how many minutes he must have used during the month. Show your work and explain your answer

Answers

Ok so we know he used over 700 because he was charged more than 40. Then we take the $8.10 and divide 0.45 into it. This then gives you 18 more minutes. Then add 18 to 700 and you get 718 min.

What is the value of P for the following triangular prism?

Answers

pretty sure its 36 (not sure) i keep getting 36.6 cm

Answer:

4cm + 2.8cm +4cm = 10.8 cm

Step-by-step explanation:

Formula Perimeter is A+B+C

First, you need to change the 28 mm to cm (move decimal once space to the left making 28mm to 2.8 cm)

Next, add all your sides that are now in the same format of cm

4 +2.8 +4=10.8 cm

85 is 40% of what number?
A- 212.5
B- 47.1
C.34
D.45

Answers

the answer is A.

212.5(0.40) = 85

The quadrilateral shown is a rectangle. What is m∠MJN?

A) 24° B) 31° C) 66° D) 90°

Answers

All angles of a rectangle is right angled or 90°.

C) 66°

Given:

∠KJN= 24°

Diagonals in a Rectangle:

The diagonals bisect each other but do not form right angles at the center.
They form linear pairs of angles, obtuse angle + acute angle, as at each of the diagonal.

Thus,

∠MJN+∠KJN=90°

∠MJN = (90-24)°

∠MJN = 66°

Therefore, correct option is C.

Find more information about diagonals here:

brainly.com/question/198970

Step-by-step explanation:

all the angles of the rectangle are right angle

therefore, angle MJK=90°

∠MJN+∠KJN=90°

∠MJN = (90-24)° = 66°

stacy has a total of $10.66 in her piggy bank. If she has the exact same number of pennies, nickels, dimes, and quarters; how many total coins does she have in all?